The Torsionfree Part of the Group of Endotrivial Modules
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We discuss the torsionfree part of the group of endotrivial modules of a finite group G. this rank only depends on the p-subgroup structure of G and on the action of G by conjugation on its noncyclic elementary abelian p-subgroups. So, we make a detour via the category of noncyclic elementary abelian p-subgroups of a finite group. We end the chapter with results about finding “torsionfree” generators, and we present various partial results, including very recent ones.